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User:Maschen/wave function

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Crude provisional section ordering of wave function

Status of wavefunctions

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History, first introduction of concept, modern interpretations

In the postulates of QM

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Some (not all) of the postulates of QM are: Wavefunction contains all information about system, governed by the SE, wavefunction collapse

Wave functions in nonrelativistic QM

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Interpretations

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probability interpretation

mention others, hint a forward reference to the field theoretical formulation

Wave particle duality

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Intuitive heuristics about the De Broglie relations and wave profile

Position and momentum representations

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Position and momentum space wavefunctions, Fourier transforms

Spin

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spin s particle in 3d, 2s+1 complex numbers, or a 2s+1 column vector, wavefunctions as spinors or tensors for particles, occurrence in relativistic QM and QFT

Other observables

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Many particle systems

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symmetry (bosons), antisymmetry (fermions), nonsymmetry (distinguishable), The Pauli principle, implications from them

Beyond nonrelativistic QM

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Relativistic quantum mechanics

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Field operators in quantum field theory

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brief discussion of advantages of field operators, point to QFT articles

non relativistic then relativistic field theory

Examples

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SUMMARIZE

Prototypical examples in physics

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Potential well, harmonic oscillator, hydrogen atom

Chemistry

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Atomic and molecular orbitals

In particle physics

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wave function of quarks, leptons

In nuclear physics

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In condensed matter physics

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Ontology

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(use what is in current article)

See also

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References

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Footnotes

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Notes

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